A rhombus has an area of 50cm squared and an internal angle of size 63 degrees find the length of its sides?

Question

year 11 advanced maths. trigonometry. areas of triangles.

Answer 1

*note a rhombus has all sides equal

let s= side and h= height of rhombus

Area of rhombus: 50 = s*h
trig equation: h/s = sin63

h= s* sin63

sub that into the area equation

50 = s*s*sin63
= s^2 *sin63

so s^2 = 50/sin63
so s = sqrt(50/sin63)

you can check the calculations yourself